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Finding the Fourth Proportional to 680.10, 937.81 and 590.83

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Solution

The fourth proportional to 680.10, 937.81 and 590.83 is: 814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.10 : 937.81 = 590.83 : x
  2. Step 2: Convert to fraction form
    680.10/937.81 = 590.83/x
  3. Step 3: Cross multiply
    680.10x = 937.81 × 590.83
  4. Step 4: Simplify right side
    680.10x = 554,084.68
  5. Step 5: Solve for x
    x = 554,084.68/680.10
  6. Step 6: Final answer
    x = 814.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.